Atkin-Lehner |
2- 5- 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
116560y |
Isogeny class |
Conductor |
116560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-32957573120000 = -1 · 214 · 54 · 31 · 473 |
Discriminant |
Eigenvalues |
2- -3 5- -4 4 5 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2227,279154] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:470:1] |
Generators of the group modulo torsion |
j |
-298211519241/8046282500 |
j-invariant |
L |
3.9957499365165 |
L(r)(E,1)/r! |
Ω |
0.54912082873293 |
Real period |
R |
0.30319297723518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000105881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14570d1 |
Quadratic twists by: -4 |